Analysis of a Cross-Nonlinear Porous-Medium System Modeling Pressure-Driven Cell Population Dynamics
Fuente:
arXiv
Saved in:
| Main Authors: | Béjar-López, Alexis, Granero-Belinchón, Rafael, Pulido, Carlos, Soler, Juan |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Multi-component phase separation and small deformations of a spherical biomembrane
by: Caetano, Diogo, et al.
Published: (2024)
by: Caetano, Diogo, et al.
Published: (2024)
Pattern formation within phenotype-structured chemotactic populations
by: Lorenzi, Tommaso, et al.
Published: (2025)
by: Lorenzi, Tommaso, et al.
Published: (2025)
On a phenotype-structured Shigesada--Kawasaki--Teramoto model: Turing instability and pattern selection under fast phenotype switching
by: Cusseddu, Davide, et al.
Published: (2026)
by: Cusseddu, Davide, et al.
Published: (2026)
Aggregation-diffusion in heterogeneous environments
by: Potts, Jonathan R.
Published: (2024)
by: Potts, Jonathan R.
Published: (2024)
Microscopic derivation of a one-dimensional lubrication model with roughness
by: Lefebvre-Lepot, Aline, et al.
Published: (2026)
by: Lefebvre-Lepot, Aline, et al.
Published: (2026)
On a Keller-Segel type equation to model Brain Microvascular Endothelial Cells growth's patterns
by: Ambrosio, B, et al.
Published: (2026)
by: Ambrosio, B, et al.
Published: (2026)
Unveiling Biological Models Through Turing Patterns
by: Li, Yuhan, et al.
Published: (2025)
by: Li, Yuhan, et al.
Published: (2025)
Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
by: Campos, Juan, et al.
Published: (2021)
by: Campos, Juan, et al.
Published: (2021)
Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions
by: Takeuchi, Taiki, et al.
Published: (2025)
by: Takeuchi, Taiki, et al.
Published: (2025)
Stability of constant steady states of an attraction-repulsion chemotaxis system
by: Wakui, Hiroshi, et al.
Published: (2025)
by: Wakui, Hiroshi, et al.
Published: (2025)
A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)
by: Cavalleri, Giulia
Published: (2024)
Concentration in selection-mutation models: error estimates and asymptotic expansions
by: Guinet, Caroline, et al.
Published: (2025)
by: Guinet, Caroline, et al.
Published: (2025)
Transition layers to chemotaxis-consumption models with volume-filling effect
by: Li, Xiaowen, et al.
Published: (2024)
by: Li, Xiaowen, et al.
Published: (2024)
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation
by: Jewell, Thomas Jun, et al.
Published: (2025)
by: Jewell, Thomas Jun, et al.
Published: (2025)
Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade
by: Surulescu, Christina, et al.
Published: (2024)
by: Surulescu, Christina, et al.
Published: (2024)
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis-haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
by: Surulescu, Christina, et al.
Published: (2019)
by: Surulescu, Christina, et al.
Published: (2019)
Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis
by: Maheux, Patrick
Published: (2023)
by: Maheux, Patrick
Published: (2023)
Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)
by: Geltner, Noah, et al.
Published: (2026)
Traveling waves to a logarithmic chemotaxis model with fast diffusion and singularities
by: Li, Xiaowen, et al.
Published: (2024)
by: Li, Xiaowen, et al.
Published: (2024)
Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
by: Hassan, Zulaihat, et al.
Published: (2025)
by: Hassan, Zulaihat, et al.
Published: (2025)
Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production
by: Mao, Xuan, et al.
Published: (2024)
by: Mao, Xuan, et al.
Published: (2024)
A critical nonlinearity for blow-up in a higher-dimensional chemotaxis system with indirect signal production
by: Zhao, Yiheng
Published: (2024)
by: Zhao, Yiheng
Published: (2024)
Morse index of steady-states to the SKT model with Dirichlet boundary conditions
by: Kuto, Kousuke, et al.
Published: (2023)
by: Kuto, Kousuke, et al.
Published: (2023)
On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility
by: Cavaterra, Cecilia, et al.
Published: (2025)
by: Cavaterra, Cecilia, et al.
Published: (2025)
Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup
by: Carrillo, José Antonio, et al.
Published: (2024)
by: Carrillo, José Antonio, et al.
Published: (2024)
On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
by: Cavalleri, Giulia, et al.
Published: (2025)
by: Cavalleri, Giulia, et al.
Published: (2025)
Weak solutions and weak-strong uniqueness for a Cahn-Hilliard type model with chemotaxis
by: Lasarzik, Robert, et al.
Published: (2026)
by: Lasarzik, Robert, et al.
Published: (2026)
A Sharp Global Boundedness Result for Keller--Segel--(Navier--)Stokes Systems with Rapid Diffusion and Saturated Sensitivities
by: Le, Minh
Published: (2026)
by: Le, Minh
Published: (2026)
Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
by: Jüngel, Ansgar, et al.
Published: (2026)
by: Jüngel, Ansgar, et al.
Published: (2026)
A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
by: Tao, Youshan, et al.
Published: (2024)
by: Tao, Youshan, et al.
Published: (2024)
Stability analysis for a kinetic bacterial chemotaxis model
by: Calvez, Vincent, et al.
Published: (2024)
by: Calvez, Vincent, et al.
Published: (2024)
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations
by: Campos, Juan, et al.
Published: (2024)
by: Campos, Juan, et al.
Published: (2024)
Generalized Doubly Parabolic Keller-Segel System with Fractional Diffusion
by: Bronzi, Anne Caroline, et al.
Published: (2025)
by: Bronzi, Anne Caroline, et al.
Published: (2025)
Chemotaxis and Reactions in Anomalous Diffusion Dynamics
by: De Andrade, Crystianne L., et al.
Published: (2024)
by: De Andrade, Crystianne L., et al.
Published: (2024)
Well-posedness for a fourth-order nonisothermal tumor growth model of Caginalp type
by: Cavalleri, Giulia, et al.
Published: (2025)
by: Cavalleri, Giulia, et al.
Published: (2025)
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source
by: Kurt, Halil Ibrahim, et al.
Published: (2024)
by: Kurt, Halil Ibrahim, et al.
Published: (2024)
Strong Solutions for the Stochastic Cahn-Hilliard Convective Brinkman-Forchheimer Model for Tumor Growth
by: Rawat, Kalpana, et al.
Published: (2026)
by: Rawat, Kalpana, et al.
Published: (2026)
Macroscopic limit from a structured population model to the Kirkpatrick-Barton model
by: Raoul, Gaël
Published: (2017)
by: Raoul, Gaël
Published: (2017)
The spreading of global solutions of chemotaxis systems with logistic source and consumption on $\mathbb{R}^{N}$
by: Hassan, Zulaihat, et al.
Published: (2024)
by: Hassan, Zulaihat, et al.
Published: (2024)
A dimension-independent critical exponent in a nutrient taxis system
by: Winkler, Michael
Published: (2026)
by: Winkler, Michael
Published: (2026)
Similar Items
-
Multi-component phase separation and small deformations of a spherical biomembrane
by: Caetano, Diogo, et al.
Published: (2024) -
Pattern formation within phenotype-structured chemotactic populations
by: Lorenzi, Tommaso, et al.
Published: (2025) -
On a phenotype-structured Shigesada--Kawasaki--Teramoto model: Turing instability and pattern selection under fast phenotype switching
by: Cusseddu, Davide, et al.
Published: (2026) -
Aggregation-diffusion in heterogeneous environments
by: Potts, Jonathan R.
Published: (2024) -
Microscopic derivation of a one-dimensional lubrication model with roughness
by: Lefebvre-Lepot, Aline, et al.
Published: (2026)